(Example of a Time Invariant System)
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One can show a system is time invarient by proving
  
 
== Example of a Time Invariant System ==
 
== Example of a Time Invariant System ==

Revision as of 12:27, 11 September 2008

Time Invariance

A system is time-invariant if for any input $ x(t)\! $ and any $ t_0\! $ (where $ t_0\! $ is a real number) the response to the shifted input $ x(t-t_0)\! $ is $ y(t-t_0)\! $.

One can show a system is time invarient by proving

Example of a Time Invariant System

Let $ y(t)=2x(t)+2\! $. The system is time invarient if for input $ x(t-t_0)\! $ the response is $ y(t-t_0)=2x(t-t_0)+2\! $.

Example of a System that is not Time Invariant

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